Partially
supported by Stanford University, the Clay Mathematics Institute
and the National Science Foundation

Stanford University,
December 12-14, 2004

Since
the early days of ergodic theory and the pioneering work von Neumann,
ergodic theory and harmonic analysis have been intimately connected,
often in surprising ways. A classic example of this is the use
of harmonic analysis to prove convergence results for ergodic
averages. Recently, there has been a great deal of interplay between
these two fields, including work motivated by applications to
Ramsey Theory. This interplay also touches upon subjects of active
interest in probability theory, such as martingales, Bernoulli
convolutions and random polynomials, as well as the Kakeya problem
which is one of the outstanding open problems in harmonic analysis.
This conference will bring together many of the leading mathematicians
in these related areas to report on recent developments of broad
interest and to point the way for exciting directions for future
research. In this way we plan to honor the significant contributions
of Izzy Katznelson in these areas on the occasion of his 70th
Birthday.